Face area of 4.70 × and has a dielectric nside surface If the

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3. The membrane that surrounds a certain type of living cell has a surface area of 4.70 × 10-9 m2 and a thickness of 1.50 x 10-8
m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 4.5. The potential on the
outer surface of the membrane is +57.0 mV greater than that on the inside surface. If the charge is due to positive ions (charge
+e), how many such ions are present on the outer surface?
Transcribed Image Text:3. The membrane that surrounds a certain type of living cell has a surface area of 4.70 × 10-9 m2 and a thickness of 1.50 x 10-8 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 4.5. The potential on the outer surface of the membrane is +57.0 mV greater than that on the inside surface. If the charge is due to positive ions (charge +e), how many such ions are present on the outer surface?
Expert Solution
Step 1

Given:

Dielectric constant(k)=4.5

thickness, d=1.5×10-8 m

Surface area,A=5.25×10-9 m2

Change in volume, V=57 mV

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